I use glass jars. However, if you do not have a lot of freezer space, you may opt for stack-able containers or even heavy duty zip-locks.
This is where I use my funnel with the straining insert. Double straining is not necessary, but it does ensure you do not get any small bones or particles in your broth.
Place your funnel in the wide mouth jar and using the measuring cup, add broth.
Fill your glass jars only half way! Freezing obviously causes expansion. See the picture above.
Cool the jars on the counter without the lids. Place the lids on and store in the refrigerator overnight. Then place in the freezer. Set an alarm so you don't forget to move the jars!
This method has lessened the breakage I used to get from placing the hot jars in the freezer. Some people recommend re-opening the jars to let pressure out before placing them in the freezer.
Throw away any vegetables from the colander. Shred any meat on the bones, freeze, and save to use in another recipe.
I like to wait until I have around two full quart jars and make a Shepherd's Pie.